2017
Том 69
№ 9

All Issues

Estimate for a Rearrangement of a Function Satisfying the “Reverse Jensen Inequality”

Korenovskii A. A.

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Abstract

We show that an equimeasurable rearrangement of any function satisfying the “reverse Jensen inequality” with respect to various multidimensional segments also satisfies the “reverse Jensen inequality” with the same constant.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 2, pp 186-199.

Citation Example: Korenovskii A. A. Estimate for a Rearrangement of a Function Satisfying the “Reverse Jensen Inequality” // Ukr. Mat. Zh. - 2005. - 57, № 2. - pp. 158–169.

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